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1131331012020 = 22325111721977091
BaseRepresentation
bin10000011101101000100…
…101010100010110110100
311000011011101220002100100
4100131220211110112310
5122013431214341040
62223420513514100
7144510302635626
oct20355045242664
94004141802310
101131331012020
113a6881954060
12163314572930
13828b7b45b41
143ca845c6c16
151e666393b30
hex107689545b4

1131331012020 has 216 divisors, whose sum is σ = 3976849382688. Its totient is φ = 258128870400.

The previous prime is 1131331011961. The next prime is 1131331012067. The reversal of 1131331012020 is 202101331311.

1131331012020 is a `hidden beast` number, since 1 + 1 + 313 + 310 + 1 + 20 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1131331011984 and 1131331012002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 416326 + ... + 1560765.

Almost surely, 21131331012020 is an apocalyptic number.

1131331012020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1131331012020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1988424691344).

1131331012020 is an abundant number, since it is smaller than the sum of its proper divisors (2845518370668).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1131331012020 is a wasteful number, since it uses less digits than its factorization.

1131331012020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1977151 (or 1977129 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 1131331012020 its reverse (202101331311), we get a palindrome (1333432343331).

The spelling of 1131331012020 in words is "one trillion, one hundred thirty-one billion, three hundred thirty-one million, twelve thousand, twenty".